Modal Analysis

Modal analysis determines the natural frequencies and mode shapes of a structure. It solves the eigenvalue problem ([K] - ωᵢ[M]){φᵢ} = {0}, where ωᵢ is the natural frequency and {φᵢ} is the mode shape. No external loads are applied; it characterizes dynamic properties.

Governing Formula([K] - ωᵢ[M]){φᵢ} = {0}

Knowledge Check

10 Questions

1.What does modal analysis determine?

2.What type of mathematical problem is solved in modal analysis?

3.In the equation ([K] - ωᵢ[M]){φᵢ} = {0}, what does ωᵢ represent?

4.What is a 'mode shape'?

5.Are external loads applied in modal analysis?

6.What is the first natural frequency also called?

7.Why is modal analysis important in design?

8.What does a higher natural frequency indicate about a structure?

9.How many modes should typically be extracted in modal analysis?

10.What is 'rigid body mode' in modal analysis?